Search a number
-
+
2638725024 = 253132114363
BaseRepresentation
bin1001110101000111…
…1011111110100000
320210220020010020110
42131101323332200
520401003200044
61113501011320
7122250535605
oct23521737640
96726203213
102638725024
111134545191
12617853b40
133308b1370
141b06426ac
151069ce6b9
hex9d47bfa0

2638725024 has 48 divisors (see below), whose sum is σ = 7459476192. Its totient is φ = 811915008.

The previous prime is 2638724999. The next prime is 2638725029. The reversal of 2638725024 is 4205278362.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (2638725029) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1055934 + ... + 1058429.

It is an arithmetic number, because the mean of its divisors is an integer number (155405754).

Almost surely, 22638725024 is an apocalyptic number.

2638725024 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2638725024 is an abundant number, since it is smaller than the sum of its proper divisors (4820751168).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2638725024 is a wasteful number, since it uses less digits than its factorization.

2638725024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2114389 (or 2114381 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 39.

The square root of 2638725024 is about 51368.5217229385. The cubic root of 2638725024 is about 1381.8621196765.

The spelling of 2638725024 in words is "two billion, six hundred thirty-eight million, seven hundred twenty-five thousand, twenty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 208 312 416 624 1248 2114363 4228726 6343089 8457452 12686178 16914904 25372356 27486719 33829808 50744712 54973438 67659616 82460157 101489424 109946876 164920314 202978848 219893752 329840628 439787504 659681256 879575008 1319362512 2638725024